arXiv AI By Adri\`a Molina Rodr\'iguez, Oriol Ramos Terrades, Josep Llad\'os Canet

Composed Historical Image Retrieval by Modeling Temporal Representations

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The paper introduces Temporally Decomposable Image Representations (TDIR), a learning algorithm that separates historical photographs into distinct date and content components using orthogonal subspaces. It establishes theoretical conditions for this decomposition, quantifies errors when conditions are partially met, and demonstrates that temporal and categorical subspaces naturally become orthogonal during joint optimization. TDIR supports transitive operations, allowing temporal information from one image to be transferred to another without label supervision, and is validated on composed image retrieval tasks that require both object content and time period specification.

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Composed Historical Image Retrieval by Modeling Temporal Representations

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